学术
国际标准刊号：ISSN 1001-9847
国内统一刊号：CN 42-1184
摘 要:
本文研究了一类具有ai类功能性反应函数的n种群非自治Lotka-Volterra扩散竞争反馈控制生态系统的持久性和全局渐近性．利用比较原理和构造Lyapunov函数分别得到系统的持久生存与全局渐近稳定的充分条件．[著者文摘]
文章出处:
《应用数学》-2007年20卷3期 -485-490页
Mathematica Applicata
分 类 号:
文献标识码:
A
文章编号:
1001-9847（2007）03-0485-06
[参考文献]
Persistence and Global Stability of the N-species Lotka-Voiterra Competition System with Feedback Controls and Dispersal
TIAN Ya-pin, CHEN Si-yang （College of Mathematics and Information Science, Shanxi Normal University, Xi＇an 710062, China）
Abstract:
The persistence and global stability of the n-species Lotka-Voherra competition system with feedback controls, dispersal and a ai -kind of functional response are investigated. The sufficient conditions are obtained for the persistence of this system by the comparable theory,and the global asymptotic stability of the positive solution is derived by constructing Lyapunov functions.[著者文摘]
Key words:
Lotak-Volterra competition system; Feedback controls; Dispersal; Persist-ence;Global asymptotic stability; ai -kind of functional response
收稿日期: 2006-10-20
基金资助:
国家自然科学基金资助项目（60671063）,陕西师范大学重点科研项目（995091）
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